A subnormal toeplitz completion

In Sung Hwang; An Hyun Kim; Jongrak Lee

doi:10.7153/oam-10-03

A subnormal toeplitz completion

In Sung Hwang, An Hyun Kim, Jongrak Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we deal with a subnormal Toeplitz completion problem: Complete the unspecified Toeplitz operators of the partial block Toeplitz matrix (Formula Presented) to make G subnormal, where U is the shift on the Hardy space H²(T) of the unit circle T.

Original language	English
Pages (from-to)	29-43
Number of pages	15
Journal	Operators and Matrices
Volume	10
Issue number	1
DOIs	https://doi.org/10.7153/oam-10-03
State	Published - Mar 2016

Keywords

Abrahamse’s theorem
Completion
Hyponormal
Matrix-valued rational functions
Subnormal
Toeplitz operators

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title = "A subnormal toeplitz completion",

abstract = "In this paper we deal with a subnormal Toeplitz completion problem: Complete the unspecified Toeplitz operators of the partial block Toeplitz matrix (Formula Presented) to make G subnormal, where U is the shift on the Hardy space H2(T) of the unit circle T.",

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KW - Matrix-valued rational functions

KW - Subnormal

KW - Toeplitz operators

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A subnormal toeplitz completion

Abstract

Keywords

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